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Yes, it is.
Yes, it is. Moreover, it is also a rational number. 1.25 * 4 = 5, so 1.25 = 5/4. All rational numbers are real numbers, so 1.25 is real. Any number you can think of, using decimal notation is real. Real numbers are allowed to have an infinity of digits (behind the decimal point).
1/2, 5, pi, respectively
9x8+5=77 8x9+10-5=77 8x7+10-6x2-60+9+8=77
Any fraction that does not equal to a whole number is real and rational, but not an integer. 1/5 is rational because it is represented by the division of two integers, but it is not itself an integer, which are natural numbers such as 1, 2, and 3.